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Phase-locking transition of coupled low-dimensional superfluids
L. Mathey, A. Polkovnikov, A. H. Castro Neto
We study the phase-locking transition of two coupled low-dimensional superfluids, either two-dimensional superfluids at finite temperature, or one-dimensional superfluids at zero t…
Competing Orders in two-dimensional Bose-Fermi mixtures
L. Mathey, S-W. Tsai, A. H. Castro Neto
Using a functional renormalization group approach we study the zero temperature phase diagram of two-dimensional Bose-Fermi mixtures of ultra-cold atoms in optical lattices, in the…
Commensurate mixtures of ultra-cold atoms in one dimension
L. Mathey
We study binary mixtures of ultra-cold atoms, confined to one dimension in an optical lattice, with commensurate densities. Within a Luttinger liquid description, which treats vari…
Phase diagrams of one-dimensional Bose-Fermi mixtures of ultra-cold atoms
L. Mathey, D. -W. Wang
We study the quantum phase diagrams of Bose-Fermi mixtures of ultracold atoms confined to one dimension in an optical lattice. For systems with incommensurate densities, various qu…